What is the Greatest Common Factor of 88986 and 89001?

Greatest common factor (GCF) of 88986 and 89001 is 3.

GCF(88986,89001) = 3

We will now calculate the prime factors of 88986 and 89001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88986 and 89001.

How to find the GCF of 88986 and 89001?

We will first find the prime factorization of 88986 and 89001. After we will calculate the factors of 88986 and 89001 and find the biggest common factor number .

Step-1: Prime Factorization of 88986

Prime factors of 88986 are 2, 3, 14831. Prime factorization of 88986 in exponential form is:

88986 = 2¹ × 3¹ × 14831¹

Step-2: Prime Factorization of 89001

Prime factors of 89001 are 3, 11, 29, 31. Prime factorization of 89001 in exponential form is:

89001 = 3² × 11¹ × 29¹ × 31¹

Step-3: Factors of 88986

List of positive integer factors of 88986 that divides 88986 without a remainder.

1, 2, 3, 6, 14831, 29662, 44493

Step-4: Factors of 89001

List of positive integer factors of 89001 that divides 88986 without a remainder.

1, 3, 9, 11, 29, 31, 33, 87, 93, 99, 261, 279, 319, 341, 899, 957, 1023, 2697, 2871, 3069, 8091, 9889, 29667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88986 and 89001. The biggest common factor number is the GCF number.
So the greatest common factor 88986 and 89001 is 3.

Also check out the Least Common Multiple of 88986 and 89001